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Finding the Fourth Proportional to 9,359.56, 12,916.74 and 5,381.80

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Solution

The fourth proportional to 9,359.56, 12,916.74 and 5,381.80 is: 7,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.56 : 12,916.74 = 5,381.80 : x
  2. Step 2: Convert to fraction form
    9,359.56/12,916.74 = 5,381.80/x
  3. Step 3: Cross multiply
    9,359.56x = 12,916.74 × 5,381.80
  4. Step 4: Simplify right side
    9,359.56x = 69,515,311.33
  5. Step 5: Solve for x
    x = 69,515,311.33/9,359.56
  6. Step 6: Final answer
    x = 7,427.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.